Q 7. - Precalculus Enhanced with Graphing Utilities | StudyQuestionHub

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Q 7.

Question

Say True or false: If $y = \log_{a} x$ , then $y = a^{x}$

Step-by-Step Solution

Verified

Answer

The given statement is false.

1Step 1. Given information

The given function is $y = \log_{a} x$

2Step 2. Logarithm transformation

Omitting logarithm, we have,

$x = a^{y}$

3Step 3. Checking statement

Now, $x = a^{y}$ is not equal to $y = a^{x}$ .
Hence, the statement is false

Other exercises in this chapter

If the graph of a logarithmic function fx=logax, where a>0 and a≠0, is increasing, then its base must be larger than_____.

If the graph of a logarithmic function f(x)=logax, where a>0and a≠1, is increasing, then its base must be largerthan ___________ .

True or False The graph of fx=logax, where a>0 and a≠0, has an x-intercept equal to 1 and no y-intercept.

Say true or false : The graph of f(x)=logax, where a>0and a≠1, has an x-intercept equal to 1 and no y-intercept.